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Finding the Fourth Proportional to 3,927, 5,882.30 and 3,657.27

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Solution

The fourth proportional to 3,927, 5,882.30 and 3,657.27 is: 5,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,927 : 5,882.30 = 3,657.27 : x
  2. Step 2: Convert to fraction form
    3,927/5,882.30 = 3,657.27/x
  3. Step 3: Cross multiply
    3,927x = 5,882.30 × 3,657.27
  4. Step 4: Simplify right side
    3,927x = 21,513,159.32
  5. Step 5: Solve for x
    x = 21,513,159.32/3,927
  6. Step 6: Final answer
    x = 5,478.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.